Question

Look at each pair of expressions Select Equivalent or Not Equivalent for each pale Equivalent Not Equivalent a. f+f+fand 3/ o O b. x + 3y and (x + x) + yoyoy c. 2.5(2n - 4) and Sn - 4

Answer 1

Answer:

$f+f+f\text{ and }3f\text{ are equivalent}$

$x^2+3y\text{ and }(x+x)+y\cdot y\cdot y\text{ are not equivalent.}$

Explanation:

Given the expressions in the attached image.

We want to determine if they are equivalent or not equivalent.

a.

$\begin{gathered} f+f+f\text{ and }3f \\ f+f+f=3f \end{gathered}$

So,

$f+f+f\text{ and }3f\text{ are equivalent}$

b.

$\begin{gathered} x^2+3y\text{ and }(x+x)+y\cdot y\cdot y \\ (x+x)+y\cdot y\cdot y=2x+y^3 \\ x^2+3y\ne2x+y^3 \end{gathered}$

So,

$x^2+3y\text{ and }(x+x)+y\cdot y\cdot y\text{ are not equivalent.}$